Understanding Tree Structures and Root Selection

The video tutorial explores the impact of choosing different root vertices on the number of children and grandchildren of a specific vertex, E, in a tree structure. It demonstrates that while the number of children E has changes when E is not the root, the number of grandchildren remains constant regardless of the root choice.

What is the main question addressed in the video regarding the tree structure?

• How to calculate the height of a tree.

• The impact of root selection on the number of children and grandchildren of a vertex.

• How to draw a tree diagram.

• The best way to choose a root for a tree.

If 'e' is not the root, how many children does it have?

• No children

• Two children

• Three children

• One child

When 'b' is chosen as the root, what is the relationship between 'e' and 'f'?

• 'f' is the parent of 'e'

• 'e' is the parent of 'f'

• 'e' is the child of 'f'

• 'e' and 'f' are siblings

What happens to the number of children 'e' has if the root is changed to 'c'?

• It increases to two.

• It remains one.

• It becomes three.

• It decreases to zero.

How many grandchildren does 'e' have when it is the root?

• Six grandchildren

• Three grandchildren

• Four grandchildren

• Five grandchildren

If 'b' is the root, which vertices are the grandchildren of 'e'?

• c, d, e

• b, f, g

• a, c, d

• g, h, i

Does changing the root to 'f' affect the number of grandchildren 'e' has?

• Yes, it increases the number.

• Yes, it decreases the number.

• No, it remains the same.

• Yes, it eliminates all grandchildren.

What is the conclusion about the number of children 'e' has when it is not the root?

• It always has one child.

• It always has two children.

• It has no children.

• It varies depending on the root.

What is the conclusion about the number of grandchildren 'e' has when it is not the root?

• It varies depending on the root.

• It has no grandchildren.

• It always has three grandchildren.

• It always has six grandchildren.

What is the overall conclusion of the video regarding root selection?

• Root selection only affects the number of children.

• Root selection does not affect the number of children and grandchildren of 'e'.

• Root selection significantly changes the tree structure.

• Root selection is irrelevant to tree analysis.